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Physical Review D

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Nonrelativistic conformal field theories

Yusuke Nishida and Dam T. Son

Institute for Nuclear Theory, University of Washington, Seattle, Washington 98195-1550, USA

Phys. Rev. D 76, 086004 – Published 26 October, 2007

DOI: https://doi.org/10.1103/PhysRevD.76.086004

Abstract

We study representations of the Schrödinger algebra in terms of operators in nonrelativistic conformal field theories. We prove a correspondence between primary operators and eigenstates of few-body systems in a harmonic potential. Using the correspondence we compute analytically the energy of fermions at unitarity in a harmonic potential near two and four spatial dimensions. We also compute the energy of anyons in a harmonic potential near the bosonic and fermionic limits.

Article Text

References (24)

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